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Prove by vector method that an angle in ...

Prove by vector method that an angle in a semi-circle is a right angle.

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Procedure : (i) Draw three circles of any radius with centre O on chart paper. (ii) From these circles, cut a semi - circle, a minor segment and a major segment (iii) Consider three points on these segment and name them as A,B, and C (iv) Cut the triangles and paste it the graph sheet so that the point A coincides with the origin as shown in the figure. Ovservation : (i) Angle in a Semi - Circle is . . . . . . . . . . angle. (ii) Angle in a major segment is angle. (iii) Angle in minor segment is . . . . . . . angle.